Diophantine Equations And Inequalities In Algebraic Number Fields

Description: Please refer to the section BELOW (and NOT ABOVE) this line for the product details - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - Title:Diophantine Equations And Inequalities In Algebraic Number FieldsISBN13:9783642634895ISBN10:3642634893Author:Wang, Yuan (Author)Description:The Circle Method Has Its Genesis In A Paper Of Hardy And Ramanujan (See Hardy 1])In 1918Concernedwiththepartitionfunction Andtheproblemofrep- Resenting Numbers As Sums Ofsquares Later, In A Series Of Papers Beginning In 1920Entitled Some Problems Of'partitio Numerorum''', Hardy And Littlewood (See Hardy 1]) Created And Developed Systematically A New Analytic Method, The Circle Method In Additive Number Theory The Most Famous Problems In Ad- Ditive Number Theory, Namely Waring's Problem And Goldbach's Problem, Are Treated In Their Papers The Circle Method Is Also Called The Hardy-Littlewood Method Waring's Problem May Be Described As Follows: For Every Integer K 2 2, There Is A Number S= S( K) Such That Every Positive Integer N Is Representable As (1) Where Xi Arenon-Negative Integers This Assertion Wasfirst Proved By Hilbert 1] In 1909 Using Their Powerful Circle Method, Hardy And Littlewood Obtained A Deeper Result On Waring's Problem They Established An Asymptotic Formula For Rs(N), The Number Of Representations Of N In The Form (1), Namely K 1 Provided That 8 2 (K - 2)2 - +5 Here Binding:Paperback, PaperbackPublisher:SPRINGER NATUREPublication Date:2012-10-18Weight:0.7 lbsDimensions:0.41'' H x 9.61'' L x 6.69'' WNumber of Pages:170Language:English

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